Presentations of Munn matrix algebras over \(K\)-algebras with \(K\) being a commutative ring
We consider the Munn matrix algebras over an associative unital \(K\)-algebra \(\mathcal{A}\), where \(K\) is a commutative (unital) ring and \(\mathcal{A}\) as a \(K\)-module is free (of finite or infinite rank), and, for each (not necessarily finitely defined) presentation of \(\mathcal{A}\), we g...
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| Дата: | 2023 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2023
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2084 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-20842023-06-18T17:55:19Z Presentations of Munn matrix algebras over \(K\)-algebras with \(K\) being a commutative ring Bondarenko, V. M. Munn algebra, Rees semigroup, regular sandwich matrix, noncommutative polynomial, generators and defining relations, normal presentation 16H99, 20M10 20G35 We consider the Munn matrix algebras over an associative unital \(K\)-algebra \(\mathcal{A}\), where \(K\) is a commutative (unital) ring and \(\mathcal{A}\) as a \(K\)-module is free (of finite or infinite rank), and, for each (not necessarily finitely defined) presentation of \(\mathcal{A}\), we give presentations of the Munn matrix algebras over it. Lugansk National Taras Shevchenko University 2023-06-18 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2084 10.12958/adm2084 Algebra and Discrete Mathematics; Vol 35, No 1 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2084/pdf Copyright (c) 2023 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Munn algebra Rees semigroup regular sandwich matrix noncommutative polynomial generators and defining relations normal presentation 16H99 20M10 20G35 |
| spellingShingle |
Munn algebra Rees semigroup regular sandwich matrix noncommutative polynomial generators and defining relations normal presentation 16H99 20M10 20G35 Bondarenko, V. M. Presentations of Munn matrix algebras over \(K\)-algebras with \(K\) being a commutative ring |
| topic_facet |
Munn algebra Rees semigroup regular sandwich matrix noncommutative polynomial generators and defining relations normal presentation 16H99 20M10 20G35 |
| format |
Article |
| author |
Bondarenko, V. M. |
| author_facet |
Bondarenko, V. M. |
| author_sort |
Bondarenko, V. M. |
| title |
Presentations of Munn matrix algebras over \(K\)-algebras with \(K\) being a commutative ring |
| title_short |
Presentations of Munn matrix algebras over \(K\)-algebras with \(K\) being a commutative ring |
| title_full |
Presentations of Munn matrix algebras over \(K\)-algebras with \(K\) being a commutative ring |
| title_fullStr |
Presentations of Munn matrix algebras over \(K\)-algebras with \(K\) being a commutative ring |
| title_full_unstemmed |
Presentations of Munn matrix algebras over \(K\)-algebras with \(K\) being a commutative ring |
| title_sort |
presentations of munn matrix algebras over \(k\)-algebras with \(k\) being a commutative ring |
| description |
We consider the Munn matrix algebras over an associative unital \(K\)-algebra \(\mathcal{A}\), where \(K\) is a commutative (unital) ring and \(\mathcal{A}\) as a \(K\)-module is free (of finite or infinite rank), and, for each (not necessarily finitely defined) presentation of \(\mathcal{A}\), we give presentations of the Munn matrix algebras over it. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2023 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2084 |
| work_keys_str_mv |
AT bondarenkovm presentationsofmunnmatrixalgebrasoverkalgebraswithkbeingacommutativering |
| first_indexed |
2024-04-12T06:26:08Z |
| last_indexed |
2024-04-12T06:26:08Z |
| _version_ |
1796109153035354112 |